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Finding the Fourth Proportional to 7,790.78, 11,686.11 and 1,947.38

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Solution

The fourth proportional to 7,790.78, 11,686.11 and 1,947.38 is: 2,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.78 : 11,686.11 = 1,947.38 : x
  2. Step 2: Convert to fraction form
    7,790.78/11,686.11 = 1,947.38/x
  3. Step 3: Cross multiply
    7,790.78x = 11,686.11 × 1,947.38
  4. Step 4: Simplify right side
    7,790.78x = 22,757,231.16
  5. Step 5: Solve for x
    x = 22,757,231.16/7,790.78
  6. Step 6: Final answer
    x = 2,921.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.